%%
%% This is file `ellipse.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% ellipse.dtx  (with options: `package')
%% 
%% Copyright (C) 2015
%% Daan Leijen
%% 
%% This work may be distributed and/or modified under the
%% conditions of the LaTeX Project Public License, either version 1.3
%% of this license or (at your option) any later version.
%% The latest version of this license is in
%%   http://www.latex-project.org/lppl.txt
%% and version 1.3 or later is part of all distributions of LaTeX
%% version 2003/12/01 or later.
%% 
%% This work has the LPPL maintenance status "author-maintained".
%% 
\NeedsTeXFormat{LaTeX2e}[1999/12/01]
\ProvidesPackage{ellipse}
    [2004/11/05 v1.0 .dtx ellipse file]
\RequirePackage{pict2e}

\providecommand*\pIIe@csedef[1]{\expandafter\edef\csname #1\endcsname}
\newcommand*\pIIe@ellip@csqrt[3]{%
  \@ovxx=#1\relax
  \ifdim\@ovxx<\z@\@ovxx-\@ovxx\fi
  \@ovyy=#2\relax
  \ifdim\@ovyy<\z@\@ovyy-\@ovyy\fi
  \edef\pIIe@csname{@csqrt(\number\@ovxx,\number\@ovyy)}%
  \expandafter\ifx\csname\pIIe@csname\endcsname\relax
    \pIIe@ellip@csqrt@%
    \pIIe@csedef{\pIIe@csname}{\the\dimen@}%
    #3\dimen@
  \else
    #3\dimexpr\csname\pIIe@csname\endcsname\relax
  \fi
}
\newcommand*\pIIe@ellip@csqrt@{%
  \@ovdx\@ovxx
  \advance\@ovdx by \@ovyy
  \dimen@0.7071067\@ovdx
  \ifdim\dimen@<\@ovyy\dimen@\@ovyy\fi
  \ifdim\dimen@<\@ovxx\dimen@\@ovxx\fi
  \ifdim\@ovdx<128\p@
    \edef\@tempa{\strip@pt\@ovxx}%
    \@ovxx\@tempa\@ovxx
    \edef\@tempa{\strip@pt\@ovyy}%
    \@ovyy\@tempa\@ovyy
    \advance\@ovxx by \@ovyy
    \advance\dimen@ by \dimexpr1pt * \@ovxx/\dimen@\relax
    \divide\dimen@ by 2%
    \advance\dimen@ by \dimexpr1pt * \@ovxx/\dimen@\relax
    \divide\dimen@ by 2%
  \fi
}

\newcommand*\pIIe@atan@{%
  \@tempdima\dimen@
  \@tempdimb\@tempdima
  \ifdim\@tempdimb<\z@\@tempdimb-\@tempdimb\fi
  \dimen@0.0663\@tempdimb
  \advance\dimen@ 0.2447pt\relax
  \advance\@tempdimb -1pt\relax
  \edef\@tempa{\strip@pt\@tempdimb}%
  \dimen@\@tempa\dimen@
  \edef\@tempa{\strip@pt\@tempdima}%
  \dimen@\@tempa\dimen@
  \dimen@-\dimen@
  \advance\dimen@ 0.7853\@tempdima
}

\newcommand*\pIIe@atantwo[3]{%
  \edef\pIIe@csname{@atan2(\number\dimexpr#1\relax,\number\dimexpr#2\relax)}%
  \expandafter\ifx\csname\pIIe@csname\endcsname\relax
    \pIIe@atantwo@{#1}{#2}{#3}%
    \pIIe@csedef{\pIIe@csname}{\the\dimexpr#3\relax}%
  \else
    #3\dimexpr\csname\pIIe@csname\endcsname\relax
  \fi
}

\newcommand*\pIIe@atantwo@[3]{%
  \@tempdima\dimexpr#2\relax
  \@tempdimb\dimexpr#1\relax
  \ifdim\@tempdima=\z@\relax
    \ifdim\@tempdimb>\z@\relax\dimen@90\p@
    \else\ifdim\@tempdimb<\z@\relax\dimen@-90\p@
    \else\dimen@0\p@
    \fi\fi
  \else
    \@tempdimd\z@
    \ifdim\@tempdima<\z@\relax
      \ifdim\@tempdimb<\z@\relax\@tempdimd-180\p@
      \else\@tempdimd180\p@
      \fi
    \fi
    \dimen@\dimexpr1pt * \@tempdimb/\@tempdima\relax
    \@tempdimc\dimen@
    \ifdim\@tempdimc<\z@\relax\@tempdimc-\@tempdimc\fi
    \ifdim\@tempdimc>\p@\relax
      \dimen@\dimexpr1pt * \@tempdima/\@tempdimb\relax
      \ifdim\dimen@<\z@\relax\def\@tempsign{-}\else\def\@tempsign{}\fi
      \pIIe@atan@
      \dimen@-\dimen@
      \advance\dimen@ by \@tempsign1.5707pt\relax
    \else
      \pIIe@atan@
    \fi
    \dimen@57.29578\dimen@
    \advance\dimen@ by \@tempdimd
  \fi
  #3\dimen@%
}

\newcommand*\pIIe@noneto[2]{}
\newcommand*\pIIe@ellip@sincost@[2]{%
  \CalculateSin{#1}%
  \CalculateCos{#1}%
  \@tempdima\UseSin{#1}\p@
  \@tempdimb\UseCos{#1}\p@
  \ifdim\@tempdima=\p@\relax
    \pIIe@csedef{@ellipsin#2}{1}%
    \pIIe@csedef{@ellipcos#2}{0}%
  \else\ifdim\@tempdima=-\p@\relax
    \pIIe@csedef{@ellipsin#2}{-1}%
    \pIIe@csedef{@ellipcos#2}{0}%
  \else
    \@tempdimc\@ellipratio\dimexpr1pt * \@tempdima/\@tempdimb\relax
    %\typeout{ i#2=\the\@tempdimc, sin(#1)=\the\@tempdima}%
    \pIIe@ellip@csqrt{\p@}{\@tempdimc}\@tempdimd
    \ifdim\@tempdimb<\z@\relax\@tempdimd-\@tempdimd\fi
    \pIIe@csedef{@ellipsin#2}{\strip@pt\dimexpr1pt * \@tempdimc/\@tempdimd\relax}%
    \pIIe@csedef{@ellipcos#2}{\strip@pt\dimexpr1pt * \p@/\@tempdimd\relax}%
  \fi\fi
}

\newcommand*\pIIe@ellip@sincost[2]{%
  %\typeout{ calc sin cos: angles (#1,#2), radii: (\the\@ovro,\the\@ovri)}%
  \edef\@ellipratio{\strip@pt\dimexpr1pt * \@ovro/\@ovri\relax}%
  \pIIe@ellip@sincost@{#1}{one}%
  \pIIe@ellip@sincost@{#2}{two}%
  %\typeout{ sincos(a=#1)=(\@ellipsinone,\@ellipcosone), sincos(a=#2)=(\@ellipsintwo,\@ellipcostwo), }%
}
\newcommand*\pIIe@omega[3]{%
  \@tempdima\csname @ellipcos#3\endcsname\@ovro
  \advance\@tempdima by #1\relax
  \@tempdimb\csname @ellipsin#3\endcsname\@ovri
  \advance\@tempdimb by #2\relax
}

\newcommand*\pIIe@omegai[1]{%
  \@tempdimc\csname @ellipsin#1\endcsname\@ovro
  \@tempdimc-\@tempdimc
  \@tempdimd\csname @ellipcos#1\endcsname\@ovri
}

\newcommand*\pIIe@ellip@kappa{%
  \@ovyy\@ellipsinone\p@
  \@ovxx\@ellipcosone\p@
  \@tempdima\@ellipcostwo\@ovyy
  \@tempdima-\@tempdima
  \advance\@tempdima by \@ellipsintwo\@ovxx
  \@tempdimb\@ellipcostwo\@ovxx
  \advance\@tempdimb by \@ellipsintwo\@ovyy
  \ifdim\@tempdima=\z@\relax
    \edef\@ellipkappa{0}%
  \else
    \dimen@\dimexpr1pt - \@tempdimb\relax
    \dimen@\dimexpr1pt * \dimen@/\@tempdima\relax
    \pIIe@ellip@csqrt{2\p@}{1.73205\dimen@}{\dimen@}%
    \advance\dimen@ by -\p@
    \divide\dimen@ by 3%
    \edef\@tempa{\strip@pt\@tempdima}%
    \dimen@\@tempa\dimen@
    \edef\@ellipkappa{\strip@pt\dimen@}%
  \fi
  %\typeout{ calculated kappa: \@ellipkappa}%
}

\newcommand*\pIIe@elliparc@[5]{%
  %\typeout{elliparc: #1, center: (#2, #3), radius (\the\@ovro, \the\@ovri),angle (#4, #5)}%
  \ifcase #1\relax
      \let\@ellip@startto\pIIe@lineto
  \or \let\@ellip@startto\pIIe@moveto
  \or \let\@ellip@startto\pIIe@noneto%
  \else\PackageWarning{ellipse}{Illegal initial action in \protect\elliparc: %
          must be one of 0 (lineto), 1 (moveto) or 2 (do nothing) but I got: #1}%
  \fi
  \ifdim\@ovro=\z@\relax\@ovri\z@\fi
  \ifdim\@ovri=\z@\relax
    \@ellip@startto{#2}{#3}%
  \else
    \pIIe@ellip@sincost{#4}{#5}%
    \pIIe@elliparc@draw{#2}{#3}%
  \fi
}
\newcommand*\pIIe@elliparc@t[5]{%
  \ifcase #1\relax
      \let\@ellip@startto\pIIe@lineto
  \or \let\@ellip@startto\pIIe@moveto
  \or \let\@ellip@startto\pIIe@noneto%
  \else\PackageWarning{ellipse}{Illegal initial action in \protect\elliparc: %
          must be one of 0 (lineto), 1 (moveto) or 2 (do nothing) but I got: #1}%
  \fi
  \ifdim\@ovro=\z@\relax\@ovri\z@\fi
  \ifdim\@ovri=\z@\relax
    \@ellip@startto{#2}{#3}%
  \else
    \CalculateSin{#4}\CalculateCos{#4}%
    \edef\@ellipsinone{\UseSin{#4}}%
    \edef\@ellipcosone{\UseCos{#4}}%
    \CalculateSin{#5}\CalculateCos{#5}%
    \edef\@ellipsintwo{\UseSin{#5}}%
    \edef\@ellipcostwo{\UseCos{#5}}%
    \pIIe@elliparc@draw{#2}{#3}%
  \fi
}
\newcommand*\pIIe@elliparc@draw[2]{%
  \pIIe@ellip@kappa%
  \pIIe@omega{#1}{#2}{one}%
  %\typeout{ point one: (\the\@tempdima,\the\@tempdimb)}%
  \@ellip@startto\@tempdima\@tempdimb
  \pIIe@omegai{one}%
  \advance\@tempdima by \@ellipkappa\@tempdimc
  \advance\@tempdimb by \@ellipkappa\@tempdimd
  \pIIe@add@nums\@tempdima\@tempdimb
  %\typeout{ control one: (\the\@tempdima,\the\@tempdimb)}%
  \pIIe@omega{#1}{#2}{two}%
  \pIIe@omegai{two}%
  \@tempdimc\@ellipkappa\@tempdimc
  \@tempdimd\@ellipkappa\@tempdimd
  \@tempdimc-\@tempdimc
  \@tempdimd-\@tempdimd
  \advance\@tempdimc by \@tempdima
  \advance\@tempdimd by \@tempdimb
  \pIIe@add@nums\@tempdimc\@tempdimd
  %\typeout{ control two: (\the\@tempdimc,\the\@tempdimd)}%
  \pIIe@add@CP\@tempdima\@tempdimb
  %\typeout{ point two: (\the\@tempdima,\the\@tempdimb)}%
  \pIIe@addtoGraph\pIIe@curveto@op
}
\newcommand*\pIIe@elliparc[7][0]{%
  \@ovro #4\relax
  \@ovri #5\relax
  \iffalse%dim\@ovro=\@ovri
    \pIIe@arc[#1]{#2}{#3}{#4}{#6}{#7}
  \else
    \ifdim \@ovro<\z@ \pIIe@badcircarg\else
      \ifdim \@ovri<\z@ \pIIe@badcircarg\else
        \@arclen #7\p@ \advance\@arclen -#6\p@
        \ifdim \@arclen<\z@ \def\@tempsign{-}\else\def\@tempsign{}\fi
        \ifdim \@tempsign\@arclen>720\p@
          \PackageWarning {ellipse}{The arc angle is reduced to -720..720}%
          \@whiledim \@tempsign\@arclen>720\p@ \do {\advance\@arclen-\@tempsign360\p@}%
          \@tempdima #6\p@ \advance\@tempdima \@arclen
          \edef\@angleend{\strip@pt\@tempdima}%
          \pIIe@@elliparc{#1}{#2}{#3}{#6}{\@angleend}%
        \else
          \pIIe@@elliparc{#1}{#2}{#3}{#6}{#7}%
        \fi
      \fi
    \fi
  \fi
}
\newcommand*\pIIe@@elliparc[5]{%
  \begingroup
  \ifdim \@tempsign\@arclen>90\p@
    \divide\@arclen 2%
    \@tempdima #4\p@\advance\@tempdima by \@arclen
    \edef\@anglemid{\strip@pt\@tempdima}%
    \def\@tempa{\pIIe@@elliparc{#1}{#2}{#3}{#4}}%
    \expandafter\@tempa\expandafter{\@anglemid}%
    \def\@tempa{\pIIe@@elliparc{2}{#2}{#3}}%
    \expandafter\@tempa\expandafter{\@anglemid}{#5}%
  \else
    \pIIe@elliparc@{#1}{#2}{#3}{#4}{#5}%
  \fi
  \endgroup
}%

\newcommand*\pIIeelliparc[7][0]{%
  \@killglue
  \pIIe@elliparc[#1]{#2\unitlength}{#3\unitlength}{#4\unitlength}{#5\unitlength}{#6}{#7}%
  \ignorespaces%
}
\ifx\undefined\elliparc\else
  \PackageWarning{ellipse}{\protect\elliparc\space is redefined}%
\fi
\let\elliparc\pIIeelliparc

\newcommand*\pIIeearc
  {\@ifstar{\@tempswatrue\pIIe@earc@}{\@tempswafalse\pIIe@earc@}}
\newcommand*\pIIe@earc@[3][0,360]{\pIIe@earc@@(#1){#2}{#3}}
\def\pIIe@earc@@(#1,#2)#3#4{%
  \if@tempswa
    \pIIe@moveto\z@\z@
    \pIIe@elliparc{\z@}{\z@}{#3\unitlength}{#4\unitlength}{#1}{#2}%
    \pIIe@closepath\pIIe@fillGraph
  \else
    \pIIe@elliparc[1]{\z@}{\z@}{#3\unitlength}{#4\unitlength}{#1}{#2}%
    \pIIe@strokeGraph
  \fi}
\ifx\undefined\earc\else
  \PackageWarning{ellipse}{\protect\earc\space is redefined}%
\fi
\let\earc\pIIeearc

\newcommand*\pIIeellipse
  {\@ifstar{\@tempswatrue\pIIe@earc@}{\@tempswafalse\pIIe@earc@}}
\let\ellipse\pIIeellipse

\endinput
%%
%% End of file `ellipse.sty'.